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Finding the Third Proportional to 349,092 and 537,246

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Solution

The third proportional to 349,092 and 537,246 is: 826,811.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,092 : 537,246 = 537,246 : x
  2. Step 2: Convert to fraction form
    349,092/537,246 = 537,246/x
  3. Step 3: Cross multiply
    349,092x = 537,246 × 537,246
  4. Step 4: Simplify right side
    349,092x = 288,633,264,516
  5. Step 5: Solve for x
    x = 288,633,264,516/349,092
  6. Step 6: Final answer
    x = 826,811.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.